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Finding the Fourth Proportional to 6,506.20, 8,974.62 and 4,803.02

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Solution

The fourth proportional to 6,506.20, 8,974.62 and 4,803.02 is: 6,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.20 : 8,974.62 = 4,803.02 : x
  2. Step 2: Convert to fraction form
    6,506.20/8,974.62 = 4,803.02/x
  3. Step 3: Cross multiply
    6,506.20x = 8,974.62 × 4,803.02
  4. Step 4: Simplify right side
    6,506.20x = 43,105,279.35
  5. Step 5: Solve for x
    x = 43,105,279.35/6,506.20
  6. Step 6: Final answer
    x = 6,625.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.